Integrating arcsin(x^2) using u-substitution and integration by parts

[Jayy962]

The title contains the problem I have difficulty with.

I understand I must use u substitution and then integrate by parts.

So my actual problem is: How do I find the derivative of arcsin(x^2) if u = arcsin(x^2)?


I know the derivative of arcsin(x^2) is 1/(1-x^2)^1/2


Thanks for helping. I hope this is detailed enough.

 

[Char. Limit]

What I recommend is let u=x^2. Then do integration by parts with v=arcsin(u) and dw=du.